Since ( 9 / 8 ) / ( 10 / 9 ) = ( 81 / 80 )— the syntonic comma — the fundamental characteristics of meantone systems are that all intervals are generated from fifths, and the syntonic comma is tempered to a unison.

Since Pythagoras calculated the formula for the musical cycle of fourths and fifths, Steel Pans are the only instruments made to follow this configuration.

Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Since we can neither undo nor redo the past, we are limited to the events of today and tomorrow.

Since the recognition of Israel as a nation state, claims are made in many cases which identify the claimant as a member of the new body politic.

Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.

Since conventional methods are insensitive at the low frequencies of these molecular transitions, the paramagnetic resonance method is being used instead.

Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.

Since the provision of skywave service requires adequate freedom from interference, only class 1, stations are capable of rendering skywave service.

Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.

Since fly cutters are one sided and not balanced, they should be used at the slowest speed available, and fed very slowly to avoid binding.

Since there are almost no schools in the country offering graduate work in interior design this rule cannot at present be observed.

Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.

Since practical washing procedures are both lengthy and expensive, a number of laboratory tests have been developed for the numerical evaluation of detergents.

Since the circulating thyroid hormones are the amino acids thyroxine and tri-iodothyronine ( cf. Section C ), it is clear that some mechanism must exist in the thyroid gland for their release from proteins before secretion.

Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.

Since Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).

Since D and D' are both diagonalizable and they commute, they are simultaneously diagonalizable, and Af is diagonalizable.

Since N and N' are both nilpotent and they commute, the operator Af is nilpotent ; ;

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

Since the choice is by lot each week, the outcomes of different trials are independent.

Since two curves of symbol Af on Q intersect in Af points, it follows that there are Af lines of Af which are tangent to Aj.

Since real numbers can be represented as distances or intervals on a line, the slide rule was invented in the 1620s to allow multiplication and division operations to be carried out significantly faster than was previously possible.

Since the age of the dinosaurs, as the island moved north due to the effects of continental drift, some geologists assert that it may have been fully submerged at various intervals.

Since the cylinder banks were arranged at 90 ° to each other, this resulted in a firing pattern with groups of two cylinders separated by 90 ° of rotation, and groups separated by 150 ° of rotation, causing a notorious odd-firing behavior, with cylinders firing at alternating 90 ° and 150 ° intervals.

Since these events recur at different intervals, this particular sequence should be unique: the doctors found only one occurrence of this sequence while searching between 1250 and 1115 BC, the 135-year spread around the putative date for the fall of Troy.

Since for each n this removes intervals adding up to at most 1 / 2 < sup > n + 1 </ sup >, the nowhere dense set remaining after all such intervals have been removed has measure of at least 1 / 2 ( in fact just over 0. 535 ... because of overlaps ) and so in a sense represents the majority of the ambient space.

Since that time, the website has continued to publish editorials and op-ed commentaries at irregular intervals and, more recently, frequent contributions from economist and noted television commentator Lawrence Kudlow.

Since then, new editions have been launched at intervals of about 20 to 30 years.

Since then, his ghost has been seen at regular intervals.

Since reference pitches are not required, music may be broken up by complex and difficult to analyze pitch clusters, for example, a percussion sequence, and pitch analysis may resume immediately once an easier to identify pitch is played, for example, by a trumpet — no need to keep track of the last note of the previous line or solo nor any need to keep track of a series of intervals going back all the way to the start of a piece.

Since the function of pitch classes is a key element, the problem of compound intervals with interval recognition is not an issue — whether the notes in a melody are played within a single octave or over many octaves is irrelevant.

Since a distracting task after the presentation of word pairs or large interpresentation intervals ( IPIs ) filled with distractors would be expected to displace the last few studied items from STS, recency effects are still observed.

Since 1981, eight regularly scheduled meetings have been held each year at intervals of five to eight weeks.

Since the era of Sher Shah, the road was dotted with caravansarais ( highway inns ) at regular intervals, and trees were planted on both sides of the road to give shade to the travellers and merchants.

Since the baby is held up close to the mother, the baby will be able to be nursed more often and often for longer intervals.

Since the closure of the Peel and Ramsey lines, the basic service has generally been four trains a day between Douglas and Port Erin and return departing at roughly 2 hour intervals between 10. 15am and 4. 15pm.

Since that time the old church has, at regular intervals, held cultural high level meetings, some of which received worldwide attention.

Since the dual of a modular lattice is again modular, φψ is also the identity on a ∨ b, and therefore the two maps φ and ψ are isomorphisms between these two intervals.

Since this accident, the vigilance control has been modified to have a degree of randomness of the length of intervals between checks.

Since then, the large and moderate eruptions has been following each other in 50 – 400 year-long intervals.

Since 1846, at Epiphany on 6 January ) at irregular intervals, and once a year since 1851, on St John's Eve ( 24 June ), the mission festival is held, to which up to 6, 000 came.

Since then, due to legal wrangling, decommissioning has been stopped and restarted at intervals.

Since human skin typically regenerates at approximately 30 day intervals, skin improvement with microdermabrasion is temporary and needs to be repeated at average intervals of 2-4 weeks for continued improvement.